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We will discuss what are different ... Cos 45 degrees is the cosine of a 45° angle. It is a trigonometric ratio that relates the length of the adjacent side to the hypotenuse in a right-angled triangle. You'll encounter this value in geometry, the unit circle, and various real-life applications like physics and engineering. This periodicity constant is different for different trigonometric identities. tan 45 ° = tan 225° but this is true for cos 45 ° and cos 225°. Refer to the above trigonometry table to verify the values. The exact value of cos 45 degrees is √2 / 2. This value comes from the properties of a right triangle. In a 45 - 45 -90 triangle, the legs are of equal length. Using the Pythagorean theorem, if we assume each leg has a length of 1, the hypotenuse will be √2. Therefore, the cosine of 45 degrees, which is the ratio of the length of the adjacent side to the hypotenuse, is: cos (45 °) = adjacent / hypotenuse = 1 / √2. To express this in a more standard form, we can multiply the numerator and ...